How do you graph an equation such as g(x)=10*(3/5)^x?

Answer 1

all exponential graphs y = a^x go through (0,1)
So, this one goes through (0,10)
Now, as with any other graph, plot a few points. All exponential graphs look basically the same.
g(-1) = 10 * 5/3 = 50/3
g(0) = 10*1 = 10
g(1) = 10 * 3/5 = 6
and so on.